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121.
LetM, M′ be smooth, real analytic hypersurfaces of finite type in ℂn and
a holomorphic correspondence (not necessarily proper) that is defined on one side ofM, extends continuously up toM and mapsM to M′. It is shown that
must extend acrossM as a locally proper holomorphic correspondence. This is a version for correspondences of the Diederich-Pinchuk extension
result for CR maps. 相似文献
122.
For a complex semisimple Lie group and a real form we define a Poisson structure on the variety of Borel subgroups of with the property that all -orbits in as well as all Bruhat cells (for a suitable choice of a Borel subgroup of ) are Poisson submanifolds. In particular, we show that every non-empty intersection of a -orbit and a Bruhat cell is a regular Poisson manifold, and we compute the dimension of its symplectic leaves.
123.
In contrast to an infinite family of explicit examples of two-dimensional p-harmonic functions obtained by G. Aronsson in the late 80s, there is very little known about the higher-dimensional case. In this paper, we show how to use isoparametric polynomials to produce diverse examples of p-harmonic and biharmonic functions. Remarkably, for some distinguished values of p and the ambient dimension n this yields first examples of rational and algebraic p-harmonic functions. Moreover, we show that there are no p-harmonic polynomials of the isoparametric type. This supports a negative answer to a question proposed in 1980 by J. Lewis. 相似文献
124.
In a previous work, we described the Minimal Model Program in the family of Q-Gorenstein projective horospherical varieties, by studying certain continuous changes of moment polytopes of polarized horospherical varieties. Here, we summarize the results of the previous work and we explain how to generalize them in order to describe the Log Minimal Model Program for pairs(X, Δ) when X is a projective horospherical variety. 相似文献
125.
126.
Alberto Chiecchio 《代数通讯》2018,46(7):3047-3061
The aim of this work is to simplify the definitions related to the study of singularities of normal varieties initiated in [3] and [8]. We introduce a notion of discrepancy for normal varieties, and we define log terminal+ singularities. We use finite generation to relate these new singularities with log terminal singularities (in the sense of [3]). 相似文献
127.
We survey the construction of the Cox ring of an algebraic variety X and study the birational geometry of X when its Cox ring is finitely generated.
Basic notation. Throughout this paper k is an algebraically closed field. 相似文献
128.
While many familiar varieties have a minimal varietal generator, i.e., a regular projective finitely presentable regular
generator such that none of its retracts is a regular generator, and even a unique one, we present (a) a variety having no
minimal varietal generator at all and (b) a variety having two non-isomorphic minimal varietal generators. Moreover we demonstrate
that the same effects can happen with respect to a weaker notion of minimality and are common even in module categories.
Received April 7, 1999; accepted in final form July 10, 2000. 相似文献
129.
J. Huisman 《Compositio Mathematica》1999,118(1):43-60
The quotient of a real analytic manifold by a properly discontinuous group action is, in general, only a semianalytic variety. We study the boundary of such a quotient, i.e., the set of points at which the quotient is not analytic. We apply the results to the moduli space Mg/ of nonsingular real algebraic curves of genus g (g2). This moduli space has a natural structure of a semianalytic variety. We determine the dimension of the boundary of any connected component of Mg/. It turns out that every connected component has a nonempty boundary. In particular, no connected component of Mg/ is real analytic. We conclude that Mg/ is not a real analytic variety. 相似文献
130.